Functions

Question 1

Truth Table A or B is true when?

Answer 1

True if A or B is true.

Question 2

Truth Table A or B is false when?

Answer 2

False if A or B are both false.

Question 3

Truth Table A and B is true when?

Answer 3

True if both A and B are true.

Question 4

Truth Table A and B is false when?

Answer 4

False when one is false, between A and B.

Question 5

Define absolute value.

Answer 5

The distance between the origin and given ‘x’.

Question 6

x ≥ 0 then |x|=x

Answer 6

The absolute value of a nonnegative number is the same as the number.

Question 7

|x|=-x then x < 0

Answer 7

The absolute value of a negative number is its opposite.

Question 8

Given the domain and range for f(x)=|x|. x is any real number and output |x|≥ 0, true or false?

Answer 8

True.

Question 9

True or False. The absolute value of any real number is always positive.

Answer 9

False.

Question 10

True or False. The absolute value of a negative number is the opposite of the negative number.

Answer 10

True.

Question 11

True or False. If x<0, then |x|=x.

Answer 11

False.

Question 12

True or False. If x≥ 0, then |x|=x.

Answer 12

True.

Question 13

True or False. If x<0, then |x| =-x.

Answer 13

True.

Question 14

True or False. |π-5|=-(π-5)

Answer 14

True.

Question 15

True or False. |π-5|= π-5

Answer 15

False.

Question 16

True or False. |π-5|= 5-π

Answer 16

True.

Question 17

Name two graphs of function where domain is all real numbers, and range is all non-negative numbers and 0.

Answer 17

The squaring function where f(x)=x^2≥0 and absolute value function where f(x)=|x|≥0

Question 18

True or False. If x≥ 0, then |x|=-x.

Answer 18

False.

Question 19

Ex. If |x|<1

Answer 19

then x can be any number between-1 and 1

Question 20

Ex, If |x|>1

Answer 20

then x can be any number less than-1 or larger than 1

Question 21

If |x|=1

Answer 21

then x is -1 or 1

Question 22

If |x|<0

Answer 22

No solution since x will always be greater than or equal to 0

Question 23

If |x|>0

Answer 23

x is not equal to 0 and every nonzero number is a solution

Question 24

If |x|=0

Answer 24

then x is equal to 0